Answer:
x = 7 x = -6
Step-by-step explanation:
x^2−x−42=0
Factor
What two numbers multiply to -42 and add to -1
-7*6 = -42
-7+6 = -1
(x-7) (x+6) =0
Using the zero product property
x-7 =0 x+6 =0
x = 7 x = -6
The volume of the bag of nuts is the amount of nuts it can contain
The volume of the bag of nuts is 84.78 cubic inches
<h3>How to determine the volume of the bag?</h3>
From the figure, we have the following parameters:
- Radius, r = 3 in
- Height, h = 9 in
The volume of a cone is calculated using:
V = 1/3 πr^2h
Substitute the known values
V = 1/3 * 3.14 * 3^2 * 9
Evaluate the product
V = 84.78
Hence, the volume of the bag of nuts is 84.78 cubic inches
Read more about volumes at:
brainly.com/question/1972490
Answer:
275 miles
Step-by-step explanation:
If 140 people were surveyed, from the given table, the number of people that preferred crab is; 42
<h3>How to work with percentages?</h3>
We are given;
Total sample size; n = 140
Now, from the table we see the percentages that preffered each seafood.
Percentage that preferred Shrimp = 24%
Percentage that preferred Crab = 30%
Percentage that preferred Fish = 36%
Percentage that preferred Neither = 10%
Thus;
Number that preferred Crab = 30% * 140
Number that preferred Crab = 42 people
Read more about Percentages at; brainly.com/question/843074
